Pith Number

pith:IV64NF67

pith:2013:IV64NF674SDOLDSSY6VT256PVC

not attested not anchored not stored refs pending

Phase structure of two-dimensional QED at zero temperature with flavor-dependent chemical potentials and the role of multidimensional theta functions

Rajamani Narayanan, Robert Lohmayer

arxiv:1307.4969 v2 · 2013-07-18 · hep-th · cond-mat.stat-mech · hep-lat · hep-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IV64NF674SDOLDSSY6VT256PVC}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T03:05:44.225286Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

457dc697dfe486e58e52c7ab3d77cfa88306e450d354047039b09b200524c54d

Aliases

arxiv: 1307.4969 · arxiv_version: 1307.4969v2 · doi: 10.48550/arxiv.1307.4969 · pith_short_12: IV64NF674SDO · pith_short_16: IV64NF674SDOLDSS · pith_short_8: IV64NF67

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/IV64NF674SDOLDSSY6VT256PVC \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 457dc697dfe486e58e52c7ab3d77cfa88306e450d354047039b09b200524c54d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c6d0c807d1a03317da8af77b647091327880d3c5b640152124d733f1c1c7033",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "hep-lat",
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2013-07-18T15:03:04Z",
    "title_canon_sha256": "3135c58169079e80bedf498cc41d9fa91ae979752b85e1f336b4d002d1b87773"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.4969",
    "kind": "arxiv",
    "version": 2
  }
}